29781960552 has 256 divisors, whose sum is σ = 89229600000. Its totient is φ = 9175016448.

The previous prime is 29781960539. The next prime is 29781960563. The reversal of 29781960552 is 25506918792.

29781960552 is a `hidden beast` number, since 2 + 9 + 7 + 81 + 9 + 6 + 0 + 552 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58510474 + ... + 58510982.

It is an arithmetic number, because the mean of its divisors is an integer number (348553125).

Almost surely, 2^29781960552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29781960552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44614800000).

29781960552 is an abundant number, since it is smaller than the sum of its proper divisors (59447639448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

29781960552 is a wasteful number, since it uses less digits than its factorization.

29781960552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 29781960552 in words is "twenty-nine billion, seven hundred eighty-one million, nine hundred sixty thousand, five hundred fifty-two".